Download E-books Algebra II: Textbook for Students of Mathematics PDF

By Alexey L. Gorodentsev

This booklet is the second one quantity of a radical “Russian-style” two-year undergraduate path in summary algebra, and introduces readers to the fundamental algebraic buildings – fields, rings, modules, algebras, teams, and different types – and explains the most rules of and strategies for operating with them.

The course covers enormous components of complicated combinatorics, geometry, linear and multilinear algebra, representation theory, category concept, commutative algebra, Galois thought, and algebraic geometry – themes which are frequently ignored in typical undergraduate courses.

This textbook relies on classes the writer has carried out on the self sufficient collage of Moscow and at the college of arithmetic within the greater college of Economics. the most content material is complemented via a wealth of routines for sophistication dialogue, a few of which come with reviews and tricks, in addition to difficulties for independent study.

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